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Finding the Fourth Proportional to 3,255.25, 4,883.01 and 946.75

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Solution

The fourth proportional to 3,255.25, 4,883.01 and 946.75 is: 1,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.25 : 4,883.01 = 946.75 : x
  2. Step 2: Convert to fraction form
    3,255.25/4,883.01 = 946.75/x
  3. Step 3: Cross multiply
    3,255.25x = 4,883.01 × 946.75
  4. Step 4: Simplify right side
    3,255.25x = 4,622,989.72
  5. Step 5: Solve for x
    x = 4,622,989.72/3,255.25
  6. Step 6: Final answer
    x = 1,420.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.